Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/690, 18/871, 61/851 quickly i.e. 1098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/690, 18/871, 61/851 is 1098.
LCM(3/690, 18/871, 61/851) = 1098
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/690,18/871,61/851
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 3,18,61
Least Common Multiple of Numerators i.e. LCM of 3,18,61 is 1098.
GCF of Denominators means GCF of 690,871,851 as per the given fractions.
GCF of 690,871,851 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,18,61
3 | 3, 18, 61 |
1, 6, 61 |
∴ So the LCM of the given numbers is 3 x 1 x 6 x 61 = 1098
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 3,18,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,18,61) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(3,18,61) x common factors =1 x 3 = 3
LCM(3,18,61) = ( 3 × 18 × 61 ) / 3
LCM(3,18,61) = 3294 / 3
LCM(3,18,61) = 1098
Lets's calculate GCF of 690,871,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1098/1
Therefore the LCM of Fractions 3/690,18/871,61/851 is 1098
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Greatest Common Factor
We found the factors 690,871,851 . The biggest common factor number is the GCF number.
So the greatest common factor 690,871,851 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 3/690, 18/871, 61/851?
Answer: LCM of Numerators as per given numbers 3/690, 18/871, 61/851 is
LCM of Numerators i.e. for 3,18,61 is 1098
GCF of denominators i.e. for 690,871,851 is 1.
Thus, LCM of Fractions is 1098.Finally, LCM of Fractions for 3/690, 18/871, 61/851 is 1098.